Finding the Youngest Friend: A Logical Reasoning Solution

This question requires us to deduce the relative ages of five friends based on the given clues. We need to determine the order of their ages from youngest to oldest to identify the youngest person.

Analyzing the Clues for Age Comparison

Let's break down the information provided about the five friends: Aman, Baman, Chaman, Karan, and Tapan.

• Clue 1: Chaman is older than only one friend. This is a very strong clue. If Chaman is older than just one person, it means there is only one person younger than Chaman. This places Chaman as the second youngest among the five friends.
• Clue 2: Tapan is older than Karan. This tells us the relative positions of Tapan and Karan, but not their absolute positions in the group yet.
• Clue 3: Only two persons are older than Karan. If only two people are older than Karan, it means three people are younger than or the same age as Karan. Since we are likely dealing with distinct ages, this means Karan is the third youngest person.
• Clue 4: Baman is older than Tapan. This gives us another relative position clue, placing Baman somewhere older than Tapan.

Step-by-Step Deduction to Find the Youngest

Let's combine the clues to establish the complete age order. We have 5 positions for the friends, from youngest (Position 1) to oldest (Position 5).

1. From Clue 1, Chaman is the second youngest. So, Chaman is in Position 2.
   Order so far: \(\text{Youngest} < \text{Chaman} < \_\_\_\_\_ < \_\_\_\_\_ < \_\_\_\_\_\)
2. From Clue 3, Karan is the third youngest. So, Karan is in Position 3.
   Order so far: \(\text{Youngest} < \text{Chaman} < \text{Karan} < \_\_\_\_\_ < \_\_\_\_\_\)
3. From Clue 2, Tapan is older than Karan. Since Karan is in Position 3, Tapan must be in Position 4 or 5.
4. From Clue 4, Baman is older than Tapan. If Tapan was in Position 5 (oldest), Baman could not be older than Tapan. Therefore, Tapan must be in Position 4, and Baman must be in Position 5.
   Order so far: \(\text{Youngest} < \text{Chaman} < \text{Karan} < \text{Tapan} < \text{Baman}\)
5. We have placed Chaman, Karan, Tapan, and Baman. The only remaining friend is Aman. The only remaining position is Position 1 (the youngest). Therefore, Aman must be the youngest friend.

The final order from youngest to oldest is:

\(\text{Aman} < \text{Chaman} < \text{Karan} < \text{Tapan} < \text{Baman}\)

Identifying the Youngest Friend

Based on our deduction, the friend in the first position (the one who is younger than Chaman, who is the second youngest) is Aman.

Therefore, Aman is the youngest among all the friends.

The question asks who is the youngest among all the friends.

Based on our analysis, Aman is the youngest.

Revision Table: Summarizing Age Clues

Additional Information on Logical Reasoning

Logical reasoning questions often involve understanding relationships and deducing conclusions from given statements. This type of puzzle is common in aptitude tests and aims to assess your ability to analyze information, identify patterns, and draw valid inferences.

• Deductive Reasoning: This problem uses deductive reasoning, where we start with general rules (the clues) and apply them to specific cases (the friends) to reach a certain conclusion (the age order).
• Order and Ranking: Many reasoning problems involve arranging items or people based on given conditions, like age, height, rank, etc. Visual aids like drawing lines or setting up positions can be helpful.
• Elimination: As we place friends in the age order, we eliminate them from the list of possibilities for other positions, simplifying the problem.

Solving these problems carefully, clue by clue, and combining the information systematically is key to arriving at the correct answer.